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Finding the Fourth Proportional to 5,867.94, 8,100.30 and 3,509.64

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Solution

The fourth proportional to 5,867.94, 8,100.30 and 3,509.64 is: 4,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.94 : 8,100.30 = 3,509.64 : x
  2. Step 2: Convert to fraction form
    5,867.94/8,100.30 = 3,509.64/x
  3. Step 3: Cross multiply
    5,867.94x = 8,100.30 × 3,509.64
  4. Step 4: Simplify right side
    5,867.94x = 28,429,136.89
  5. Step 5: Solve for x
    x = 28,429,136.89/5,867.94
  6. Step 6: Final answer
    x = 4,844.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.